3 papers
physics.comp-ph2017
An Improved Roe Scheme for All Mach-Number Flows Simultaneously Curing Known Problems
Xue-song Li, Xiao-dong Ren, Chun-wei Gu
Roe scheme is known for its good performance in moderate-Mach-number flows. However, this scheme and its extended versions suffers from many disastrous problems, such as non-physic…
physics.flu-dyn2016
Cures for the Expansion Shock and the Shock Instability of the Roe Scheme
Xue-song Li, Xiao-dong Ren, Chun-wei Gu
A common defect of the Roe scheme is the production of non-physical expansion shock and shock instability. An improved method with several advantages was presented to suppress the…
math.NA2016
An Alternative Analysis of Discontinuous Galerkin Method for Hyperbolic Conservation Law
Kun Xu, Chang Liu, Xiaodong Ren
The development and application of the Discontinuous Galerkin (DG) method have attracted great attention in computational fluid dynamics (CFD) com- munity in the past decades. The…